扭曲Edwards曲线上椭圆曲线密码系统的坐标系

2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW) Pub Date : 2016-07-28 DOI:10.1109/ICCE-TW.2016.7520712

Masaaki Shirase

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引用次数: 0

摘要

本文提出了一个坐标系，其中点(x, y)表示为(x, y, Z, W)，满足x = x /Z和y = y /W。在本文提出的坐标系中，椭圆曲线密码系统的主要运算——标量乘法在扭曲爱德华兹曲线±x2 + y2 = 1 + dx2y2上的代价与混合坐标系中现有的最低代价相同，标量乘法的实现变得更加容易。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coordinate system for elliptic curve cryptosystem on twisted Edwards curve

This paper proposes a coordinate system in which a point (x, y) is represented as (X, Y, Z, W), where x = X/Z and y = Y/W are satisfied. In the proposed coordinate system, the cost of scalar multiplication, which is the dominant operation of elliptic curve cryptosystems, on the twisted Edwards curve ±x² + y² = 1 + dx²y² is the same as the existing lowest cost in a mixed coordinate system, and implementation of scalar multiplication becomes easier.

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来源期刊

2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW)

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